Exploring Adding and Subtracting Rational Expressions

What is the first step in solving an equation like 3x + 16 = -5?

• Multiply both sides by 3

• Subtract 16 from both sides

• Divide both sides by 3

• Add 5 to both sides

What does the 'P' in PEMDAS stand for?

• Percentage

• Power

• Parentheses

• Product

How do you know when to distribute a negative sign in an equation?

• When it's dividing a term

• When it's outside parentheses

• When it's part of an exponent

• When it's added to a variable

In the basketball analogy for substitution, what is substituted for the point guard?

• A post

• Another point guard

• A percussionist

• A saxophone player

What is the first step in solving systems of equations by substitution?

• Look for an equation with Y by itself

• Substitute the Y variable

• Divide both sides by the coefficient of X

• Find an equation with X by itself

In the context of solving systems by substitution, what does substituting one equation into another help to eliminate?

• The need for graphing

• The need for division

• The use of coefficients

• The use of two variables

After substituting in a system of equations, what should you do next?

• Write the answer as an ordered pair

• Substitute the numerical answer into another equation

• Graph the equations

• Solve for the remaining variable

What is the final answer format for a system of equations solved by substitution?

• A variable by itself

• An ordered pair

• A single number

• An infinite number of solutions

What is the result of substituting x = 5 into the equation y = x - 9?

• y = 4

• y = -14

• y = 14

• y = -4

What does an answer of 'infinitely many solutions' indicate about the system of equations?

• The equations intersect at one point

• There is no solution

• The equations are the same line

• The equations are parallel